I certainly hope that no ill effects have presented!
Toxic plant and Parrots are a bad combination and you should think long and hard about assuring that it does not happen again.
As you know, the toxic transfer of plants is commonly near or on the surface and commonly fast acting as a means of assuring that another bite is not taken.
I certainly hope that you got really lucky!
I so hope your baby will be okay, parrotlets are so small and it wouldn't take much to cause damage.
I would take him to the vet to be on the safe side, if possible.